CriticalLeftToRightMaxima on ParkingFunction
The entries p that are left to right maxima with exactly p - 1 entries smaller and n - p larger.
FindStat's St000942. A left to right maximum is larger than every entry before it.
Called as CombinatorialStat(x, "CriticalLeftToRightMaxima"). The head's page has its examples.
Live
Distribution
Over ParkingFunctions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000942
The number of critical left to right maxima of the parking functions.
| Object | Value |
|---|---|
[1] | 1 |
[1,1] | 0 |
[1,2] | 2 |
[2,1] | 1 |
[1,1,1] | 0 |
[1,1,2] | 0 |
[1,1,3] | 1 |
[1,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000942 has the rest.